In this triangle \(a^2 = b^2 + c^2\) and angle \(A\) is a right angle. Pythagoras' theorem only works for right-angled triangles, so you can use it to test whether a triangle has a right angle or not.

Pythagoras’ theorem is a statement that is true for all right-angled triangles.It states that the area of the square on the hypotenuse close hypotenuseThe longest side of a right-angled triangle ...

These two teenage math stars have developed five new proofs of the Pythagorean theorem ... for non-isosceles right triangles, ...

Two years ago, a couple of high school classmates each composed a mathematical marvel, a trigonometric proof of the Pythagorean ... of triangles. He believed that Pythagoras’ theorem is so ...

"There are no trigonometric proofs because all the fundamental formulae of trigonometry are themselves based upon the truth of the Pythagorean theorem," mathematician Elisha Loomis had written in ...

Ne'Kiya Jackson and Calcea Johnson from Louisiana used trigonometry to prove the 2,000-year-old Pythagorean theorem, which states that the sum of the squares of a right triangle's two shorter ...

A leading academic has highlighted China's rich mathematical history, including a startling fact about a well-known theorem ...

to create a proof of the Pythagorean theorem using trigonometry, demonstrating that the square of the hypotenuse of a right triangle equals the sum of the squares of the other two sides.